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    Title: A fuzzy decentralized variable structure tracking control with optimal and improved robustness designs: Theory and applications
    Authors: 黃志良
    Contributors: 淡江大學電機工程學系
    Keywords: Fuzzy control;Optimal control;Robust control;Interconnected systems;Transfer functions;Approximation error;Frequency;Stability;Lyapunov method;Delay effects
    Date: 200410
    Issue Date: 2011-10-15 00:58:51 (UTC+8)
    Abstract: To begin with, each subsystem of a nonlinear interconnected system was approximated by a weighted combination of L linear pulse transfer function systems (LPTFSs). For every nominal LPTFS of the mth subsystem, a dead-beat to its switching surface was first designed. The output disturbance of the mth LPTFS included the interconnections coming from the other subsystems, the approximation error of the mth subsystem, and the interactions resulting from the other LPTFSs. In general, this output disturbance was not small and contains various frequencies. Under this circumstances, the H/sup /spl infin//-norm of the weighted sensitivity function between the mth switching surface and its corresponding output disturbance was minimized. In addition, an appropriate selection of the weighted function for the sensitivity could reject the corresponding mode of the output disturbance. Although the effect of the output disturbance is attenuated and partially rejected, a better performance could be enhanced by a switching control based on the Lyapunov redesign. In addition, the stability of the overall system was verified by Lyapunov stability theory. The simulations for the LPTFSs with different delays or nonminimum phases or unstable features were arranged to evaluate the effectiveness of the proposed control. Finally, the application to the trajectory tracking of the robot arm including the fuzzy modeling was carried out to confirm the practicality of the proposed control.
    Relation: IEEE Transactions on Fuzzy Systems 12(5), pp. 615-630
    DOI: 10.1109/TFUZZ.2004.834819
    Appears in Collections:[電機工程學系暨研究所] 期刊論文

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